The Henri Poincare
Framework
Incubation & the Mathematics of Discovery
Henri Poincare represents one of the most distinctive thinking patterns in their field. Henri Poincare's approach, captured in this framework as mental models, decision heuristics, and the signature questions they would ask.
The incubation & the mathematics of discovery framework distils Henri Poincare's documented approach into a .md skill file you can load into Claude, ChatGPT, or any LLM in seconds.
Where most AI personas generate generic output, this framework is grounded in real documented work: interviews, writing, published frameworks, and the specific decisions Henri Poincare made when it mattered. Use it for decision-making, writing, strategy, or any situation where you want your AI to think with Henri Poincare's distinctive patterns rather than a default model voice.
A glimpse of Henri Poincare's thinking.
Discovery is not manufactured by will; it is precipitated by the collision of well-prepared mental atoms that the unconscious mind arranges while the conscious mind rests. Poincare held that the role of conscious work is to mobilize the right combinatorial elements, not to force their union. The mathematician's true labor is therefore split: saturate the mind with precise formulations, then withdraw deliberately so that the deeper machinery can sort, combine, and surface only those arrangements that carry the feeling of mathematical elegance.
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Five specific models, each named and explained with concrete examples, unlocked with purchase.
"Have I loaded this problem with enough precise formulation that my subliminal machinery actually has well-defined atoms to combine, or am I incubating vagueness?"
4 more questions in Henri Poincare's voice are unlocked with purchase.
Full list of anti-patterns unlocked with purchase.
The full framework adds: detailed explanations of all five mental models with real-world examples, the decision heuristics Henri Poincare actually used, remaining signature questions, the complete list of anti-patterns, a copy-paste activation prompt, and a worked example.
Unlocked the moment you purchase. ~2,000 words total. Delivered as a Claude Skill and plain .md within 60 seconds of checkout.
- ✦Core philosophy: 2–3 sentences grounded in Henri Poincare's documented worldview
- ✦Five signature mental models: each named, with concrete examples from their work
- ✦Decision heuristics: the concrete rules they actually used
- ✦Signature questions: five questions that sound like Henri Poincare, not a generic MBA
- ✦What they would NOT do: the anti-patterns this framework rejects
- ✦Copy-paste activation prompt: drop straight into Claude or ChatGPT
- ✦Worked example: the framework applied to a realistic scenario
- →henri-poincare.zip: a native Claude Skill. Upload to Settings → Skills in Claude, or unzip to
~/.claude/skills/ - →henri-poincare-framework.md: plain markdown. Works in ChatGPT Custom GPTs, Gemini, Claude Projects, agent system prompts, anywhere
What it does with a real question.
A founder is deciding whether to take a large but difficult client.
Don't decide yet, and don't decide by grinding. You've told me the client is large and difficult, which means you already hold the facts. If you've been circling the question for days and every pass produces the same two columns of pros and cons, conscious effort has saturated. Another round of analysis won't add information; it will only add anxiety.
So give the problem one precise formulation, in writing, before you set it down. Not "is this client good?" but: what specifically makes them difficult, and which of those difficulties would be structural (scope that expands, a buyer who can't say yes, payment that slips) versus merely unpleasant (a rude contact, long calls)? Structural difficulty compounds and eats a small company. Unpleasantness mostly doesn't. Writing that distinction down gives your judgment something definite to work on while you're away from it.
Then withdraw for two days. Work on something unrelated, and stop this question mid-thought rather than tidily. Don't evaluate whatever feeling surfaces the moment it arrives. Write it down, sleep, and test it the next morning against one thing: does the answer explain why the deal feels wrong or right, or does it only repeat that it does?
Your next move: draft that one-page statement of structural versus unpleasant difficulty tonight, then close the document and leave the decision until Thursday.
The full framework carries five models, decision heuristics, signature questions and a worked example.
Written by claude-sonnet-5-5 with this framework loaded, 2026-10-11. Checked automatically for length and for copied framework text.
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Inspired by the documented thinking of Henri Poincare. A mental-model toolkit, not a literal representation. Delivered as a .md file compatible with Claude, ChatGPT, Gemini, and any LLM.